The value of an antique plate after x years can be modeled by f(x) = 18(1.05)x. which graph can be used to approximate the number of years it will take for the plate’s value to be $30?

The approximate number of years is 10

The graph in the attached figure

Step-by-step explanation:

Let

f(x) the value of an antique plate

x is the number of yeras

we know that

The system of equations that represented the problem is equal to

----> equation A

----> equation B

Solve the system by graphing

The solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is the point (10.47,30)

see the attached figure

therefore

The approximate number of years is 10

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.